Put all of the ingredients in a large pot. Season with some salt and cover with cold water. Bring to a boil. As soon as the shrimp reaches a boil, remove from the heat, strain the water and plunge the shrimp into ice water to stop the cooking. Allow the shrimp to chill for about 10 minutes.;
For the basil pesto:
Put all ingredients in a food processor and pulse a few times to blend the pesto. You do not want it completely smooth, leave it a little rough. After the shrimp are cooled, strain the water and toss the shrimp with the pesto, season with salt and pepper.;
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.